scholarly journals Maximal summability operators on the dyadic hardy spaces

Filomat ◽  
2021 ◽  
Vol 35 (7) ◽  
pp. 2189-2208
Author(s):  
Ushangi Goginava ◽  
Salem Said
Keyword(s):  
Fourier Series ◽  
Hardy Spaces ◽  
Maximal Operators ◽  
Almost Everywhere Convergence ◽  
Varying Parameters ◽  
Almost Everywhere ◽  
Logarithmic Means

It is proved that the maximal operators of subsequences of N?rlund logarithmic means and Ces?ro means with varying parameters of Walsh-Fourier series is bounded from the dyadic Hardy spaces Hp to Lp. This implies an almost everywhere convergence for the subsequences of the summability means.

scholarly journals Almost everywhere convergence and divergence of Cesàro means with varying parameters of Walsh–Fourier series

2021 ◽  
Author(s):  
György Gát ◽  
Ushangi Goginava
Keyword(s):  
Fourier Series ◽  
Cesàro Means ◽  
Almost Everywhere Convergence ◽  
Varying Parameters ◽  
Cesaro Means ◽  
Almost Everywhere ◽  
Cesáro Means ◽  
Convergence And Divergence

AbstractIn the present paper, we prove the almost everywhere convergence and divergence of subsequences of Cesàro means with zero tending parameters of Walsh–Fourier series.

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